1997135712 has 288 divisors, whose sum is σ = 6776130816. Its totient is φ = 549964800.

The previous prime is 1997135689. The next prime is 1997135713. The reversal of 1997135712 is 2175317991.

It is a happy number.

1997135712 is a `hidden beast` number, since 1 + 9 + 9 + 71 + 3 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997135713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923723 + ... + 2924405.

It is an arithmetic number, because the mean of its divisors is an integer number (23528232).

Almost surely, 2^1997135712 is an apocalyptic number.

1997135712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388065408).

1997135712 is an abundant number, since it is smaller than the sum of its proper divisors (4778995104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1997135712 is a wasteful number, since it uses less digits than its factorization.

1997135712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 1997135712 is about 44689.3243627603. The cubic root of 1997135712 is about 1259.3192997484.

The spelling of 1997135712 in words is "one billion, nine hundred ninety-seven million, one hundred thirty-five thousand, seven hundred twelve".